Highest Common Factor of 667, 943, 481 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 667, 943, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 667, 943, 481 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 667, 943, 481 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 667, 943, 481 is 1.

HCF(667, 943, 481) = 1

HCF of 667, 943, 481 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 667, 943, 481 is 1.

Highest Common Factor of 667,943,481 using Euclid's algorithm

Highest Common Factor of 667,943,481 is 1

Step 1: Since 943 > 667, we apply the division lemma to 943 and 667, to get

943 = 667 x 1 + 276

Step 2: Since the reminder 667 ≠ 0, we apply division lemma to 276 and 667, to get

667 = 276 x 2 + 115

Step 3: We consider the new divisor 276 and the new remainder 115, and apply the division lemma to get

276 = 115 x 2 + 46

We consider the new divisor 115 and the new remainder 46,and apply the division lemma to get

115 = 46 x 2 + 23

We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get

46 = 23 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 667 and 943 is 23

Notice that 23 = HCF(46,23) = HCF(115,46) = HCF(276,115) = HCF(667,276) = HCF(943,667) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 481 > 23, we apply the division lemma to 481 and 23, to get

481 = 23 x 20 + 21

Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 21 and 23, to get

23 = 21 x 1 + 2

Step 3: We consider the new divisor 21 and the new remainder 2, and apply the division lemma to get

21 = 2 x 10 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 23 and 481 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(481,23) .

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Frequently Asked Questions on HCF of 667, 943, 481 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 667, 943, 481?

Answer: HCF of 667, 943, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 667, 943, 481 using Euclid's Algorithm?

Answer: For arbitrary numbers 667, 943, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.